Cos(2x)=3cos(x)

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Solution for Cos(2x)=3cos(x) equation: 


Simplifying
Cos(2x) = 3cos(x)

Remove parenthesis around (2x)
osC * 2x = 3cos(x)

Reorder the terms for easier multiplication:
2osC * x = 3cos(x)

Multiply osC * x
2osxC = 3cos(x)

Multiply cos * x
2osxC = 3cosx

Solving
2osxC = 3cosx

Solving for variable 'o'.

Move all terms containing o to the left, all other terms to the right.

Add '-3cosx' to each side of the equation.
-3cosx + 2osxC = 3cosx + -3cosx

Combine like terms: 3cosx + -3cosx = 0
-3cosx + 2osxC = 0

Factor out the Greatest Common Factor (GCF), 'osx'.
osx(-3c + 2C) = 0


Subproblem 1
Set the factor 'osx' equal to zero and attempt to solve:

Simplifying
osx = 0

Solving
osx = 0

Move all terms containing o to the left, all other terms to the right.

Simplifying
osx = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3c + 2C)' equal to zero and attempt to solve:

Simplifying
-3c + 2C = 0

Reorder the terms:
2C + -3c = 0

Solving
2C + -3c = 0

Move all terms containing o to the left, all other terms to the right.

Add '-2C' to each side of the equation.
2C + -2C + -3c = 0 + -2C

Combine like terms: 2C + -2C = 0
0 + -3c = 0 + -2C
-3c = 0 + -2C
Remove the zero:
-3c = -2C

Add '3c' to each side of the equation.
-3c + 3c = -2C + 3c

Combine like terms: -3c + 3c = 0
0 = -2C + 3c

Simplifying
0 = -2C + 3c

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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